2021年电大《高等数学（1）》期末练习试题及答案资料小抄

1、电大高等数学（1）复习练习 一、 单项选择题 1已知函数的定义域为，则的定义域是（ ） a b c d 2、下列函数中关于坐标原点对称的为（ ） a、 b、 c、 d、 3、当（ ）时，是无穷小量。a、 b、2 c、5 d、-2 设在x=邻域内有定义，且，则（ ） a. b. c. d. 1 5=（ ） a b c d1 6设f(x)是f(x)的一个原函数，则（ ） a、f(cosx)+c b、f(sinx)+c c、-f(cosx)+c d、f(-sinx)+c 二、 填空题 1、曲线y=ln(1+x)在（，）点处的切线斜率是 。2设函数 如果在处连续，则 3函数的单调增加区间是 4若，则

2、5若已知f(x)的一个原函数是arctgx，则 。6、是 阶微分方程 三、 计算题 1、 2、 3、设，求 4、设y=y(x)是由方程确定的函数，求. 5、 6、 7、求微分方程的通解 8求微分方程满足初始条件，的特解 四、应用题 1、欲做一个底为正方形，容积为18立方米的长方体开口容器，怎样做法所用材料最省？ 2、求由曲线xy=1,及直线y=x,y=2所围平面区域面积。五、证明题 试证模拟练习答案 （供参考） 一、 单项选择题 1、d 2、b 3、d 4、d 5、a 6、c 二、填空题（每小题3分，共15分） 1、 1 2、 5 3、 4、 5、 6、2 三、 计算题 1、解由洛必达法则得=

3、2、解= 3、解， 4、解原式两端求导，得 ，整理得5解设，则 6、解7、解因为原方程是可分离变量方程，即 两端积分，得 即 （c为任意常数） 8解原方程的特征方程为 ， 特征根为， 故原方程的通解为 其中为任意常数 将条件，代入，得， 所以原方程的特解为 四. 1、解设底边边长为，高为，所用材料为 因为 ， ，令得， 因为，所以为最小值此时 于是以6米为底边长，3米为高做长方体容器用料最省 x y 2 y=2 y=x xy=1 2、解画草图 (2分) 求交点，由 ，得，y 所求平面图形的面积为 五、证明因为 设 则 请您删除一下内容，o(_)o谢谢！215年中央电大期末复习考试小抄，电大期末

4、考试必备小抄，电大考试必过小抄after earning his spurs in the kitchens of the westin, the sheraton, sens on the bund, and a sprinkling of other top-notch venues, simpson lu fi nally got the chance to become his own boss in november 21. sort of. the shanghai-born chef might not actually own california pizza kitchen

5、(cpk) but he is in sole charge of both kitchen and frontof- house at this sinan mansionsstalwart. “its certainly a responsibility to be the head chef, and then to have to manage the rest of the restaurant as well,“ the 31-year-old tells enjoy shanghai. “in hotels, for example, these jobs are strictl

6、y demarcated, so its a great opportunity to learn how a business operates across the board.“ it was a task that management back in sunny california evidently felt he was ready for, and a vote of confi dence from a company that, to date, has opened 25 outlets in 11 countries. and for added pressure,

7、the shanghai branch was also cpks china debut. “for sure it was a big step, and unlike all their other asia operations that are franchises, they decided to manage it directly to begin with,“ says simpson. two years ago a private franchisee took over the lease, but the links to cpk headquarters are s

8、till strong, with a mainland-based brand ambassador on hand to ensure the business adheres to its ethos of creating “innovative, hearth-baked pizzas“, a slice of pr blurb that simpson insists lives up to the hype. “they are very innovative,“ he says. “the problem with most fast food places is that t

9、hey use the same sauce on every pizza and just change the toppings. every one of our 16 pizza sauces is a unique recipe that has been formulated to complement the toppings perfectly.“ the largely local customer base evidently agrees and on saturday and sunday, at least, the place is teeming. the kid

10、s-eat-for-free policy at weekends is undoubtedly a big draw, as well as is the spacious second-fl oor layout overlooked by a canopy of green from fuxing park over the road. the company is also focusing on increasing brand recognition and in recent years has taken part in outside events such as the r

11、egular california week. still, the sta are honest enough to admit that business could be better; as good, in fact, as in cpks second outlet in the popular kerry parkside shopping mall in pudong. “sinan mansions has really struggled to get the number of visitors that were envisaged when it first open

12、ed, and it hasnt been easy for any of the tenants here,“ adds simpson. “were planning a third outlet in the city in 215, and we will probably choose a shopping mall again because of the better foot traffic.“ the tearooms once frequented by coco chanel and marcel proust are upping sticks and coming t

13、o shanghai, xu junqian visits the parisian outpost with sweet treats. one thing the century-old parisian tearoom angelina has shown is that legendary fashion designer coco chanel not only had style and glamor but also boasted great taste in food, pastries in particular. one of the most popular tearo

14、oms in paris, angelina is famous for having once been frequented by celebrities such as chanel and writer marcel proust. now angelina has packed up its french ambience, efficient service, and beautiful, comforting desserts and flown them to shanghai. at the flagship dine-in and take-out space in sha

15、nghai, everything mimics the original tearoom designed from the beginning of the 2th century, in paris, the height of “belle epoque“. the paintings on the wall, for example, are exactly the same as the one that depicts the landscape of southern france, the hometown of the owner; and the small tables

16、 are intentional imitations of the ones that coco chanel once sat at every afternoon for hot chocolate. the famous hot chocolate, known as lafricain, is a luxurious mixture of four types of cocoa beans imported from africa, blended in paris and then shipped to shanghai. its sinfully sweet, rich and

17、thick as if putting a bar of melting chocolate directly on the tongue and the fresh whipped cream on the side makes a light, but equally gratifying contrast. it is also sold in glass bottles as takeaway. the signature mont-blanc chestnut cake consists of three parts: the pureed chestnut on top, the

18、vanilla cream like stuffing, and the meringue as base. get all three layers in one scoop, not only for the different textures but also various flavors of sweetness. the dessert has maintained its popularity for a century, even in a country like france, perhaps the worlds most competitive place for d

19、esserts. a much overlooked pairing, is the paris-new york choux pastry and n226 chocolate flavored tea. the choux pastry is a mouthful of airy pecan-flavored whipped cream, while the tea, a blend of black teas from china and ceylon, cocoa and rose petals, offers a more subtle fragrance of flowers an

20、d chocolate. ordering these two items, featuring a muted sweetness, makes it easier for you to fit into your little black dress. breakfast, brunch, lunch and light supper are also served at the tearoom, “a hub of many cultures“ and takes in “a mix of different styles of french cuisines“, according t

21、o the management team. the semi-cooked foie gras terrine, is seductive and deceptive. its generously served at the size and shape of a toast, while the actual brioche toast is baked into a curved slice dipped with fig chutney. the flavor, however, is honest: strong, smooth and sublime. and you dont

22、actually need the toast for crunchiness. this is the season for high teas, with dainty cups of fine china and little pastries that appeal to both visual and physical appetites. but there is one high tea with a difference, and pauline d. loh finds out just exactly why it is special. earl grey tea and

23、 macarons are all very well for the crucial recuperative break in-between intensive bouts of holiday season shopping. and for those who prefer savory to sweet, there is still the selection of classic chinese snacks called dim sum to satisfy and satiate. high tea is a meal to eat with eye and mouth,

24、an in-between indulgence that should be light enough not to spoil dinner, but sufficiently robust to take the edge off the hunger that strikes hours after lunch. the afternoon tea special at shang-xi at the four seasons hotel pudong has just the right elements. it is a pampering meal, with touches o

25、f luxury that make the high tea session a treat in itself. whole baby abalones are braised and then topped on a shortcrust pastry shell, a sort of chinese version of the western vol-au-vent, but classier. even classier is the dim sum staple shrimp dumpling or hargow, upgraded with the addition of sl

26、ivers of midnight dark truffles. this is a master touch, and chef simon choi, who presides unchallenged at shang-xi, has scored a winner again. sweet prawns and aromatic truffles whats not to love his masterful craftsmanship is exhibited in yet another pastry a sweet pastry that is shaped to look li

27、ke a walnut, but which you can put straight into the mouth. it crumbles immediately, and the slightly sweet, nutty morsel is so easy to eat youll probably reach straight for another. my favorite is the dessert that goes by the name yangzhi ganlu, or ambrosia from the gods. the hotel calls it chilled

28、 mango cream with sago, pomelo and birds nest made with ingredients that resonate with every female soul. it does taste like ambrosia, with the sweet-sour fragrance of the mango forming the first layer of taste and sensation, and the pomelo sacs and sago pearls providing the tactile contrast. the birds nest its the ingredient that gilds the lily, since it is supposed to nourish and nurture a perfect complexion. for those unfamiliar with this